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Finding the Third Proportional to 6,704,880 and 14,481,460

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Solution

The third proportional to 6,704,880 and 14,481,460 is: 31,277,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704,880 : 14,481,460 = 14,481,460 : x
  2. Step 2: Convert to fraction form
    6,704,880/14,481,460 = 14,481,460/x
  3. Step 3: Cross multiply
    6,704,880x = 14,481,460 × 14,481,460
  4. Step 4: Simplify right side
    6,704,880x = 209,712,683,731,600
  5. Step 5: Solve for x
    x = 209,712,683,731,600/6,704,880
  6. Step 6: Final answer
    x = 31,277,619.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.